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Simplifying 4(x + 7) + -9 = 5(x + -4) Reorder the terms: 4(7 + x) + -9 = 5(x + -4) (7 * 4 + x * 4) + -9 = 5(x + -4) (28 + 4x) + -9 = 5(x + -4) Reorder the terms: 28 + -9 + 4x = 5(x + -4) Combine like terms: 28 + -9 = 19 19 + 4x = 5(x + -4) Reorder the terms: 19 + 4x = 5(-4 + x) 19 + 4x = (-4 * 5 + x * 5) 19 + 4x = (-20 + 5x) Solving 19 + 4x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 19 + 4x + -5x = -20 + 5x + -5x Combine like terms: 4x + -5x = -1x 19 + -1x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + -1x = -20 + 0 19 + -1x = -20 Add '-19' to each side of the equation. 19 + -19 + -1x = -20 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = -20 + -19 -1x = -20 + -19 Combine like terms: -20 + -19 = -39 -1x = -39 Divide each side by '-1'. x = 39 Simplifying x = 39
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